The Geometry and Dynamics of Magnetic Monopoles - Rilegato

Atiyah, Michael Francis; Hitchin, Nigel

Rilegato

ISBN 10: 0691084807 ISBN 13: 9780691084800

Casa editrice: Princeton Univ Pr, 1988

Riassunto

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles, " and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical.This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity.

Su questo libro

Recensione:

"[This book] should be read by any mathematician who wants to see something of the exciting connections between geometry and the nonlinear systems of mathematical physics."--Bulletin of the American Mathematical Society

Product Description:

Book by Atiyah Michael Francis Hitchin N J

Su questa edizione

• Editore: Princeton Univ Pr
• Data di pubblicazione: 1988
• ISBN 10: 0691084807
• ISBN 13: 9780691084800
• Rilegatura: Copertina rigida
• Numero di pagine: 144